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Finding the Fourth Proportional to 49,644.48, 74,480.64 and 20,083.08

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Solution

The fourth proportional to 49,644.48, 74,480.64 and 20,083.08 is: 30,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,644.48 : 74,480.64 = 20,083.08 : x
  2. Step 2: Convert to fraction form
    49,644.48/74,480.64 = 20,083.08/x
  3. Step 3: Cross multiply
    49,644.48x = 74,480.64 × 20,083.08
  4. Step 4: Simplify right side
    49,644.48x = 1,495,800,651.57
  5. Step 5: Solve for x
    x = 1,495,800,651.57/49,644.48
  6. Step 6: Final answer
    x = 30,130.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.